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Oksanka [162]
3 years ago
5

The measure of L in triangle LMN is 40°. The measure of M is 78°. What is the measure of N?

Mathematics
1 answer:
forsale [732]3 years ago
8 0

Answer: 62°

Step-by-step explanation:

Total angle in a triangle = 180°

40° + 78° + < N = 180°

118° + <N =180

<N = 180 -118

<N=62°

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Need help on this problem
faust18 [17]

Using an exponential function, it is found that:

  • For Country A, the doubling time is of 43 years.
  • For Country B, the growth rate is of 1.9% per year.

<h3>What is the exponential function for population growth?</h3>

The exponential function for population growth is given as follows:

P(t) = P(0)e^{kt}

In which:

  • P(t) is the population after t years.
  • P(0) is the initial population.
  • k is the exponential growth rate, as a decimal.
  • t is the time in years.

For Country A, we have that k = 0.016. The doubling time is t for which P(t) = 2P(0), hence:

P(t) = P(0)e^{kt}

2P(0) = P(0)e^{0.016t}

e^{0.016t} = 2

\ln{e^{0.016t}} = \ln{2}

0.016t = \ln{2}

t = \frac{\ln{2}}{0.016}

t = 43 years.

For Country B, P(36) = 2P(0), hence we have to solve for k to find the growth rate.

P(t) = P(0)e^{kt}

2P(0) = P(0)e^{36k}

e^{36k} = 2

\ln{e^{36k}} = \ln{2}

36k = \ln{2}

k = \frac{\ln{2}}{36}

k = 0.019.

For Country B, the growth rate is of 1.9% per year.

More can be learned about exponential functions at brainly.com/question/25537936

#SPJ1

3 0
2 years ago
Giselle works as a carpenter and as a blacksmith. She earns \$20$20dollar sign, 20 per hour as a carpenter and \$25$25dollar sig
Pani-rosa [81]

She earns 20 dollars as a carpenter and 25 dollars as a blacksmith

b+c=30 hours since she works 30 hours a week

25b+20c=690 since she earns 690 dollar totally and earns 25 dollars an hour as a blacksmith and 20 dollars an hour as a carpenter

lets multiply b+c=30 by -20

-20b-20c=-600

if we substract that from

25b+20c=690

5b=90

b=18 she worked as a blacksmith for 18 hours

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3 years ago
A chalk board’s dimensions have an
Wewaii [24]

Step-by-step explanation:

5:3=35

5=35×3

5=105

5÷105=0.05

7 0
2 years ago
Please help! I will give brainliest (or however you spell it) to whoever gives me the answer!
snow_lady [41]

Answer:

CDF is scaled down by a factor of 1/2 of ABC

Step-by-step explanation:

3 0
3 years ago
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